However, Altrincham and Sale West MP Graham Brady, the influential chairman of the Conservative backbench 1922 Committee, said there was no appetite for a leadership contest which could see the party having to fight another General Election.
George Osborne has branded the Prime Minister "a dead woman walking".
Speaking on the BBC's Andrew Marr show, Osborne said he and Cameron had spent "years getting back to office, winning in seats like Bath and Brighton and Oxford and I am angry when we go backwards and I am not afraid to say that".
'She said I needed to get to know my party better.
The former Chancellor, who has since become editor of the Evening Standard, pulled no punches when analysing who would take over from Mrs May in a potential leadership battle.
"I think it's fairly clear Theresa May can not lead us into another election - of course, we don't know when that's going to happen, and I don't think we should rush that", she told ITV's Peston on Sunday.
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Later, he spiked his racket, then mangled it by breaking it over his knee, drawing a warning from the chair umpire. Telling Words: "He's definitely (the) best player in history. on this surface".
We are going to see, I hope, more collective decision-making in Cabinet.
Ruth Davidson, the Scottish Tories leader, campaigned for Remain in the European Union referendum a year ago and said on Saturday she wanted cross-party support with "free trade and economic advancement at the heart of the Brexit deal".
May announced the Conservatives and the DUP had worked out a working arrangement that would be enough to buoy her government, by giving May a narrow working majority of just two with her own 318 MPs plus the 10 DUP politicians. "I think there is no majority in the House of Commons for a hard Brexit and if the Ruth Davidsons of the party are starting to flex their muscles, in my view that is only a good thing". "The Tory party was absolutely furious that Theresa May failed to acknowledge the loss and suffering of many MPs", he said.
Ouch... Mr S thinks May might be coming to regret her choice of words when she sacked Osborne.
He confirmed that he had raised the issue with her before she gave an interview later that afternoon in which she said she was "sorry" at what had happened to them.
"There is no point in sailing ahead with items that were in the manifesto that we won't get through parliament".
Mr Corbyn said earlier that it is "quite likely" there will be another election as he promised to present a "substantial amendment" to the Queen's speech.